The Christoffel-Darboux Kernel & Applications
Newcastle University
Newcastle upon Tyne, UK
4-5 July 2022
The two-day event is aimed at promoting the Christoffel-Darboux kernel, a well known concept in approximation theory, as a versatile tool for applied areas of science, such as data analysis, dynamical systems or global optimization. The benefits of treating big data from the lens of the Christoffel-Darboux kernel are amply supported by recent advances in outlier detection, density estimation and manifold learning. Also, recent developments in non-convex, non-linear optimization single out the same kernel as an invaluable technical catalyst.
During the first day of the workshop four comprehensive lectures will introduce the non-expert participant to the theoretical and applied background of this promising, fast growing area of research.
The second day will be devoted to more specialized, seminar type discussions, including numerical experiments, explorations of real data and open questions.
Speakers
Jean-Bernard Lasserre LAAS-CNRS, University of Toulouse and ANITI Institute
Felix Kirschner Tilburg University
Etienne de Klerk Tilburg University
Monique Laurent CWI and Tilburg University
Edouard Pauwels University of Toulouse 3 Paul Sabatier and ANITI Institute
Mihai Putinar UC Santa Barbara and Newcastle University
Lucas Slot CWI
Venue
School of Mathematics, Statistics and Physics
Herschel Building
Lecture Theatre 2 (ground floor)
Newcastle University
With suggested accomodation at:
Reference
The Christoffel-Darboux Kernel for Data Analysis
This volume offers foundational material for the topics covered by the workshop.
Schedule
Monday 4 July
09:30-10:30. Edouard Pauwels - Introduction to CD kernels and application in statistics
10:30-11:00. Coffee break
11:00-12:00. Jean-Bernard Lasserre - The CD-Kernel for retrieving the graph of a function and for interpolation
12:00-14:00. Lunch
14:00-15:00. Monique Laurent - Convergence analysis of sum-of-squares hierarchies in polynomial optimization
15:00-15:30. Coffee break
15:30-16:30. Etienne de Klerk - Construction of multivariate polynomial approximation kernels via semidefinite programming
19:00. Dinner at Marco Polo (please send a message to David Kimsey if you plan to attend)
Tuesday 5 July
09:30-10:30. Lucas Slot - Sum-of-squares hierarchies for polynomial optimization and the Christoffel-Darboux kernel
10:30-11:00. Coffee break
11:00-12:00. Mihai Putinar - The role of CD kernel in moment indeterminacy
12:00-14:00. Lunch
14:00-15:00. Edouard Pauwels - Emperical Christoffel Darboux Kernels and Applications
15:00-15:30. Coffee break
15:30-16:30. Felix Kirschner - Numerical aspects of constructive multivariate polynomial approximation kernels via semidefinite programming
Motel One - see the green pin
Herschel Building - see the red pin
Restaurants - see the purple pins:
Marco Polo (location for our Monday dinner)
Red Mezze
Tyneside Cinema
Early career researchers interested in participating with local financial support are kindly asked to send an e-mail to David Kimsey with a CV and a brief statement outlining the motivation for attending the meeting.
Registration: Registration is free, but if you intend to attend, please send an e-mail to David Kimsey.
If you are coming to the meeting and are interested in attending Monday night's dinner, please send a message to David Kimsey.
Funding for this meeting is gratefully acknowledged from the Heilbronn Institute for Mathematical Research, EPSRC and Newcastle University.
Organizers: David Kimsey, Mihai Putinar